论文信息 - The Return of the Baer Subplane

The Return of the Baer Subplane

We discuss the notion of a tangency set in a projective plane, generalising the well-studied idea of a minimal blocking set. Tangency sets have recently been used in connection with the coding theory related to algebraic curves over finite fields, and they are closely related to the strong representative systems introduced by T. Illes, T. Szonyi, and F. Wettl (1991,Mitt. Math. Sem. Giessen201, 97?107). Here we give bounds on the possible sizes of tangency sets, and structural results are obtained in the extremal cases.

Keldon Drudge | A. A. Bruen

[1] Joseph A. Thas. On semi ovals and semi ovoids , 1974 .

[2] Aart Blokhuis,et al. On the size of a blocking set inPG(2,p) , 1994, Comb..

[3] Andries E. Brouwer,et al. Blocking sets in desarguesian projective planes , 1986 .

[4] Aiden A. Bruen,et al. Arcs and Blocking Sets II , 1987, Eur. J. Comb..

[5] A. Bruen. Blocking Sets in Finite Projective Planes , 1971 .

[6] J. Thas,et al. Hyperplane coverings and blocking sets , 1982 .

[7] Tamás Szőnyi,et al. Blocking sets and maximal strong representative systems in finite projective planes , 1991 .